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Introdução a álgebra homológica
(Universidade Tecnológica Federal do ParanáCornelio ProcopioBrasilLicenciatura em MatemáticaUTFPR, 2020-10-23)
The work in question has as its main objective to be an alternative material for the reader who seeks to start his studies in Homological Algebra. Here we will study the structures on sets called modules, an algebraic ...
Commutative Moufang loops and alternative algebras
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
We describe bases of free commutative Moufang loop with seven generators and calculate the order of this loop. (c) 2011 Published by Elsevier Inc.
Nuclear elements of degree 6 in the free alternative algebra
(A K PETERS LTD, 2008)
We construct five new elements of degree 6 in the nucleus of the free alternative algebra. We use the representation theory of the symmetric group to locate the elements. We use the computer algebra system ALBERT and an ...
The bar-radical of a class of almost alternative baric algebras
(TAYLOR & FRANCIS INC, 2008)
In this article we prove that, if (U, ) is a finite dimensional baric algebra of (gamma, delta) type over a field F of characteristic not equal 2,3,5 such that gamma(2) - delta(2) + delta = 1 and 0,1, then rad(U) = R(U)boolean ...
An evolution algebra in population genetics
(Elsevier Inc., 2014)
We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. We study basic properties of the algebra. ...
Representações dos grupos simétrico e alternante e aplicações às identidades polinomiais
(Universidade Federal de São CarlosBRUFSCarPrograma de Pós-Graduação em Matemática - PPGM, 2014-11-28)
In this dissertation we ll present a discussion about the Representations of the Symmetric Group Sn and Alternating Group An. We ll study basics results of the Young s Theory about the representations of the Symmetric Group ...
Finite-dimensional pointed Hopf algebras with alternating groups are trivial
(Springer Heidelberg, 2011-05)
It is shown that Nichols algebras over alternating groups Am (m ≥ 5) are infinite dimensional. This proves that any complex finite dimensional pointed Hopf algebra with group of group-likes isomorphic to Am is isomorphic ...